From my experience, the male will hold out for 2-3 days before he starts to eat the young. The mother however I've seen eat some the first day they hatch. So while you don't have to separate the male immediately, you will have to within the first couple days or he will consume the young.
I would only remove the male, as the female will eat the young. The male is ok for a day or two with the young but after that he needs to be separated as well, so I would move him back to the display. Mine spends about a week out of the display to release the young and get a couple extra feedings, then back to the display for 3-4 weeks till he's ready to release again. It is a bit if a hassle, but it's a bit easier to catch him by flipping the lights on briefly at night, so he is groggy and a bit stunned.